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11x^2-55x+66=0
a = 11; b = -55; c = +66;
Δ = b2-4ac
Δ = -552-4·11·66
Δ = 121
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{121}=11$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-55)-11}{2*11}=\frac{44}{22} =2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-55)+11}{2*11}=\frac{66}{22} =3 $
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